Abstract: A stack angle compensation arrangement is disclosed. This arrangement is for use with a skewing adjustment system in an offset printing press unit that is configured and disposed for receiving plate and blanket cylinders of various diameters. The arrangement keeps the rotation axis of the skewing adjustment system in line with a reference plane, which reference plane is defined by the rotation axis of a plate cylinder (before skewing) and the rotation axis of a blanket cylinder, when the stack angle changes. A method of automatically compensating a change in the stack angle in an offset printing press unit having a skewing adjustment system is also presented.